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Finding the Fourth Proportional to 5,714.22, 7,931.87 and 5,575.98

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Solution

The fourth proportional to 5,714.22, 7,931.87 and 5,575.98 is: 7,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.22 : 7,931.87 = 5,575.98 : x
  2. Step 2: Convert to fraction form
    5,714.22/7,931.87 = 5,575.98/x
  3. Step 3: Cross multiply
    5,714.22x = 7,931.87 × 5,575.98
  4. Step 4: Simplify right side
    5,714.22x = 44,227,920.60
  5. Step 5: Solve for x
    x = 44,227,920.60/5,714.22
  6. Step 6: Final answer
    x = 7,739.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.